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Two contributions to the discussion of Fearnhead P. and D. Prangle (2012). Constructing summary statistics for approximate Bayesian computation: Semi-automatic approx- imate Bayesian computation, J. Roy. Statist. Soc. B, 74 (3).

统计计算 · 统计学 2012-01-10 D. J. Nott , Y. Fan , S. A. Sisson

A Bayesian nonparametric estimator to entropy is proposed. The derivation of the new estimator relies on using the Dirichlet process and adapting the well-known frequentist estimators of Vasicek (1976) and Ebrahimi, Pflughoeft and Soofi…

统计理论 · 数学 2020-01-03 Luai Al-Labadi , Viskakh Patel , Kasra Vakiloroayaei , Clement Wan

These are the written discussions of the paper "Bayesian measures of model complexity and fit" by D. Spiegelhalter et al. (2002), following the discussions given at the Annual Meeting of the Royal Statistical Society in Newcastle-upon-Tyne…

统计方法学 · 统计学 2013-10-14 E. Moreno , F. -J. Vazquez-Polo , C. P. Robert

We consider discrete nonparametric priors which induce Gibbs-type exchangeable random partitions and investigate their posterior behavior in detail. In particular, we deduce conditional distributions and the corresponding Bayesian…

概率论 · 数学 2008-08-22 Antonio Lijoi , Igor Prünster , Stephen G. Walker

We investigate and extend the conformal prediction method due to Vovk,Gammerman and Shafer (2005) to construct nonparametric prediction regions. These regions have guaranteed distribution free, finite sample coverage, without any…

统计理论 · 数学 2011-11-08 Jing Lei , James Robins , Larry Wasserman

A nonparametric and locally adaptive Bayesian estimator is proposed for estimating a binary regression. Flexibility is obtained by modeling the binary regression as a mixture of probit regressions with the argument of each probit regression…

统计方法学 · 统计学 2007-09-25 Sally Wood , Robert Kohn , Remy Cottet , Wenxin Jiang , Martin Tanner

We provide a reply to a comment by I. Goychuk arXiv:1501.06996 [cond-mat.stat-mech] (not under active consideration with Phys. Rev. Lett.) on our Letter A. Rebenshtok, S. Denisov, P. H\"anggi, and E. Barkai, {\em Phys. Rev. Lett.} {\bf…

统计力学 · 物理学 2015-06-19 Adi Rebenshtok , Sergey Denisov , Peter Hänggi , Eli Barkai

This is the rejoinder to the discussion by Kennedy, Balakrishnan and Wasserman on the paper "On nearly assumption-free tests of nominal confidence interval coverage for causal parameters estimated by machine learning" published in…

统计方法学 · 统计学 2020-08-10 Lin Liu , Rajarshi Mukherjee , James M. Robins

Discussion of "Likelihood Inference for Models with Unobservables: Another View" by Youngjo Lee and John A. Nelder [arXiv:1010.0303]

统计方法学 · 统计学 2010-10-06 Xiao-Li Meng

Comment on "Enhanced transmission through periodic arrays of subwavelength holes: the role of localized waveguide resonances" [Phys.Rev.Lett. 96, 233901 (2006)]

光学 · 物理学 2007-06-05 Cheng-ping Huang , Yong-yuan Zhu

A response to a letter to the editor by Schilling regarding Bartroff, Lorden, and Wang ("Optimal and fast confidence intervals for hypergeometric successes" 2022, arXiv:2109.05624)

统计方法学 · 统计学 2024-01-23 Jay Bartroff , Gary Lorden , Lijia Wang

We propose an adaptive confidence interval procedure (CIP) for the coefficients in the normal linear regression model. This procedure has a frequentist coverage rate that is constant as a function of the model parameters, yet provides…

统计方法学 · 统计学 2017-07-10 Peter D. Hoff , Chaoyu Yu

Nonparametric estimation of a mixing density based on observations from the corresponding mixture is a challenging statistical problem. This paper surveys the literature on a fast, recursive estimator based on the predictive recursion…

统计方法学 · 统计学 2022-09-15 Ryan Martin

We investigate the relation between frequentist and Bayesian approaches. Namely, we find the "frequentist" Bayes prior \pi_{f}(\lambda,x_{obs}) = -\frac{\int_{-\infty}^{x_{obs}}\frac{\partial f(x,\lambda)}{\partial…

数据分析、统计与概率 · 物理学 2013-01-01 S. I. Bitioukov , N. V. Krasnikov

This is a discussion on "Sparse graphs using exchangeable random measures" by Francois Caron and Emily B. Fox, published in Journal of the Royal Statistical Society, Series B, 2017.

统计方法学 · 统计学 2018-02-23 Mingyuan Zhou

Motivated by the need to analyze large, decentralized datasets, distributed Bayesian inference has become a critical research area across multiple fields, including statistics, electrical engineering, and economics. This paper establishes…

统计理论 · 数学 2025-07-08 Bohan Wu , César A. Uribe

Modern regression applications can involve hundreds or thousands of variables which motivates the use of variable selection methods. Bayesian variable selection defines a posterior distribution on the possible subsets of the variables…

统计方法学 · 统计学 2024-10-16 J. E. Griffin

This report is a collection of comments on the Read Paper of Fearnhead and Prangle (2011), to appear in the Journal of the Royal Statistical Society Series B, along with a reply from the authors.

This paper investigates and extends the computationally attractive nonparametric random coefficients estimator of Fox, Kim, Ryan, and Bajari (2011). We show that their estimator is a special case of the nonnegative LASSO, explaining its…

计量经济学 · 经济学 2019-09-20 Florian Heiss , Stephan Hetzenecker , Maximilian Osterhaus

This survey covers state-of-the-art Bayesian techniques for the estimation of mixtures. It complements the earlier Marin, Mengersen and Robert (2005) by studying new types of distributions, the multinomial, latent class and t distributions.…

统计计算 · 统计学 2008-04-16 Kate Lee , Jean-Michel Marin , Kerrie Mengersen , Christian P. Robert